What does this research mean for the field?

In gauge theories on manifolds with boundaries, the expectation values of quantum BRST-closed observables are independent of admissible deformations of the gauge-fixing fermion, provided the quantum master equation is satisfied, boundary conditions are BRST compatible, and there is no residual boundary BV current. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To establish gauge independence and boundary structure consistency for quantum gauge theories formulated on manifolds with boundaries using the Batalin–Vilkovisky (BV) and BFV frameworks.

August 19, 2026Open Access

BV–BFV Quantization of Gauge Theories on Manifolds with Boundary: Gauge Independence, Edge Modes, and Methods for Boundary Structure Analysis

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Authors

ATAndrei V. Turenko

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Implication

Theoretical analysis demonstrates gauge-fixing independence of physical observables in quantum Yang–Mills theory on bounded manifolds, highlighting consistent boundary structures via the BV–BFV...

Key Points

To establish gauge independence and boundary structure consistency for quantum gauge theories formulated on manifolds with boundaries using the Batalin–Vilkovisky (BV) and BFV frameworks.
Derived a formal BV theorem for expectation values of quantum BRST-closed observables under deformations of the gauge-fixing fermion.
Identified sufficient conditions for gauge independence, including satisfaction of the quantum master equation, BRST-compatible boundary conditions, and vanishing boundary BV currents.
Evaluated action variations in two-dimensional disk BF theory to analyze the emergence of boundary symplectic potentials.
Proved that quantum BRST-closed observables are independent of gauge-fixing deformations and the linear covariant gauge parameter ξ on manifolds with boundaries.
Demonstrated that boundary action variations generate an independent boundary symplectic potential rather than requiring artificial suppression.
Outlined an integrated research program addressing boundary counterterms, one-loop divergences, edge modes, and observable algebra factorization.

Cite This Study

Andrei V. Turenko (2026) studied this question.

synapsesocial.com/papers/6a85630603308d306e2d6049 https://doi.org/10.5281/zenodo.21964084

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BV–BFV Quantization of Gauge Theories on Manifolds with Boundary: Gauge Independence, Edge Modes, and Methods for Boundary Structure Analysis

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Implication

Key Points

Cite This Study

BV–BFV Quantization of Gauge Theories on Manifolds with Boundary: Gauge Independence, Edge Modes, and Methods for Boundary Structure Analysis

Discussion

Member takes

Implication

Key Points

Cite This Study

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